Question

How many lead balls, each of radius 1cm, can be made from a sphere of radius 8cm?

Answer 1

It is given that

Radius of lead ball = 1cm

Radius of sphere = 8cm

We know that

Number of lead balls = volume of sphere/ volume of one lead ball

So we get

Number of lead balls = (4/3 πR³)/ (4/3 πr³)

By substituting the values

Number of lead balls = (4/3 × (22/7) × 8³)/ (4/3 × (22/7) × 1³)

On further calculation

Number of lead balls = (4/3 × (22/7) × 512)/ (4/3 × (22/7) × 1)

We get

Number of lead balls = 512

Therefore, 512 lead balls can be made from the sphere.